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Simplifying -3x + -52 = 5x + -4 Reorder the terms: -52 + -3x = 5x + -4 Reorder the terms: -52 + -3x = -4 + 5x Solving -52 + -3x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -52 + -3x + -5x = -4 + 5x + -5x Combine like terms: -3x + -5x = -8x -52 + -8x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -52 + -8x = -4 + 0 -52 + -8x = -4 Add '52' to each side of the equation. -52 + 52 + -8x = -4 + 52 Combine like terms: -52 + 52 = 0 0 + -8x = -4 + 52 -8x = -4 + 52 Combine like terms: -4 + 52 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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